What three numbers have an average of 341?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 341. This means if we add these three numbers together and divide by 3, we should get 341.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 341 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 341 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1023

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1023.

Solution 1:

341, 341, 341

Verification:

(341 + 341 + 341) / 3 = 1023 / 3 ≈ 341

This solution is correct!

Solution 2:

341, 341, 341

Verification:

(341 + 341 + 341) / 3 = 1023 / 3 ≈ 341

This solution is correct!

Solution 3:

710, 3, 310

Verification:

(710 + 3 + 310) / 3 = 1023 / 3 ≈ 341

This solution is correct!

Solution 4:

267, 50, 706

Verification:

(267 + 50 + 706) / 3 = 1023 / 3 ≈ 341

This solution is correct!

Solution 5:

895, 53, 75

Verification:

(895 + 53 + 75) / 3 = 1023 / 3 ≈ 341

This solution is correct!

Explanation:

As you can see, there are many possible solutions. We can find more by:

Remember:

Try it out:

(X+Y+Z) / 3 = 809What three numbers have an average of 809 ?
(X+Y+Z) / 3 = 240What three numbers have an average of 240 ?
(X+Y+Z) / 3 = 810What three numbers have an average of 810 ?

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